TSTP Solution File: GEO228+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:23:09 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 106 ( 48 ~; 35 |; 16 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(subsumption_resolution,[],[f67,f63]) ).
fof(f63,plain,
unequally_directed_lines(sK0,sK1),
inference(subsumption_resolution,[],[f51,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) )
& ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| ~ convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( convergent_lines(X1,X2)
<=> ( unequally_directed_lines(X1,reverse_line(X2))
& unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qt9f8jHcQn/Vampire---4.8_2125',con_def) ).
fof(f51,plain,
( unequally_directed_lines(sK0,sK1)
| convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( ( unequally_directed_lines(sK0,reverse_line(sK1))
& unequally_directed_lines(sK0,sK1) )
| convergent_lines(sK0,sK1) )
& ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f45,f46]) ).
fof(f46,plain,
( ? [X0,X1] :
( ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| convergent_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) )
=> ( ( ( unequally_directed_lines(sK0,reverse_line(sK1))
& unequally_directed_lines(sK0,sK1) )
| convergent_lines(sK0,sK1) )
& ( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1] :
( ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| convergent_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0,X1] :
( ( ( unequally_directed_lines(X0,reverse_line(X1))
& unequally_directed_lines(X0,X1) )
| convergent_lines(X0,X1) )
& ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0,X1] :
( ~ convergent_lines(X0,X1)
<~> ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1] :
( ~ convergent_lines(X0,X1)
<=> ( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X2] :
( ~ convergent_lines(X1,X2)
<=> ( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X2] :
( ~ convergent_lines(X1,X2)
<=> ( ~ unequally_directed_lines(X1,reverse_line(X2))
| ~ unequally_directed_lines(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.Qt9f8jHcQn/Vampire---4.8_2125',con) ).
fof(f67,plain,
~ unequally_directed_lines(sK0,sK1),
inference(subsumption_resolution,[],[f66,f62]) ).
fof(f62,plain,
unequally_directed_lines(sK0,reverse_line(sK1)),
inference(subsumption_resolution,[],[f52,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f52,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f66,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1) ),
inference(resolution,[],[f65,f55]) ).
fof(f55,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f65,plain,
~ convergent_lines(sK0,sK1),
inference(subsumption_resolution,[],[f64,f63]) ).
fof(f64,plain,
( ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(subsumption_resolution,[],[f50,f62]) ).
fof(f50,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO228+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.03/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 18:44:04 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_NEQ problem
% 0.10/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.Qt9f8jHcQn/Vampire---4.8_2125
% 0.60/0.80 % (2242)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (2243)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80 % (2244)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (2240)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.80 % (2241)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.80 % (2245)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80 % (2246)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.80 % (2247)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80 % (2247)First to succeed.
% 0.60/0.80 % (2245)Also succeeded, but the first one will report.
% 0.60/0.80 % (2240)Also succeeded, but the first one will report.
% 0.60/0.80 % (2247)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (2247)------------------------------
% 0.60/0.80 % (2247)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (2247)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (2247)Memory used [KB]: 988
% 0.60/0.80 % (2247)Time elapsed: 0.003 s
% 0.60/0.80 % (2247)Instructions burned: 3 (million)
% 0.60/0.80 % (2247)------------------------------
% 0.60/0.80 % (2247)------------------------------
% 0.60/0.80 % (2237)Success in time 0.486 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------